Finite Group Databasebeta

← Group #11895765

Character table — Group #11895765

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order1222334444666666121212123444446661212121212121212121212121212121212121212121212121212121212121212121212448888121212122424242424242424222666666882424242422444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1
χ6111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-111
χ7111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1
χ9111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-11111-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-111-1-11-111-1-111-11-1
χ10111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-11111-1111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-11-1-1-111-1-1-11-1-111-1-11-11
χ11111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-11111-1111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1111-1-1111-111-1-1-1-11-11
χ12111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-11111-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-111-11-1-11111-11-1
χ13111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-11-1-1-1-111-11-1-11111-1-11
χ14111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-11-1-1-1-1111-111-1-1-1-111-1
χ15111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-1-11-1-111-1-111-1
χ16111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-11-111-1-111-1-11
χ1722222222-2-2222222-2-2-2-2222-2-2-2222-2-222-2-2222222-2-2-2-2-22-2-22-2-222-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-2-2-222222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-22222-2-2-2-222-2-22200000000000000000000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222-22-22222-2-2-2-222-2-222-2-2-2-2-2-222-2-2-222-2-22222-2-2-2-22200000000000000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22-2222-2222-2-2-2-222-2-2-2-222-2-2-2-22-2222-2-2-2-222-2-22222-2-200000000000000000000000000000000000000
χ2122222-122222-122-1-12222-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000000222-1-1-1-1-1-100000000000
χ2222222-122222-122-1-12222-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000111100000000-2-2-211111100000000000
χ2322222-122222-122-1-12222-1-2-22-2-2-1-1-1-1-12222-1-11111-1-1-1-1-1-2-21-2-21-1-1-1-111111111220000-1-1-1-1000000002-2-2-1-1111100000000000
χ2422222-122222-122-1-12222-1-2-22-2-2-1-1-1-1-12222-1-11111-1-1-1-1-1-2-21-2-21-1-1-1-111111111-2-20000111100000000-22211-1-1-1-100000000000
χ2522222-122-2-22-122-1-1-2-2-2-2-122-2-2-2-1-1-11122-2-2-1-1-1-1-1-1111112-212-21-1-111-1-111-1-111000000−i3−i3i3i300000000000−i3i3−i3i3−i3i300000000000
χ2622222-122-2-22-122-1-1-2-2-2-2-122-2-2-2-1-1-11122-2-2-1-1-1-1-1-1111112-212-21-1-111-1-111-1-111000000i3i3−i3−i300000000000i3−i3i3−i3i3−i300000000000
χ2722222-122-2-22-122-1-1-2-2-2-2-1-2-2-222-1-1-11122-2-2-1-1111111111-22-1-22-1-1-11111-1-111-1-1000000−i3−i3i3i300000000000−i3i3i3−i3i3−i300000000000
χ2822222-122-2-22-122-1-1-2-2-2-2-1-2-2-222-1-1-11122-2-2-1-1111111111-22-1-22-1-1-11111-1-111-1-1000000i3i3−i3−i300000000000i3−i3−i3i3−i3i300000000000
χ2922222-1-2-2222-122-1-12222-12-2-22-2-1-1-1-1-1-2-2-2-211-1-111-1-1-1-1122-1-2-211111-1-1-1-11111220000-1-1-1-100000000-22-211-1-11100000000000
χ3022222-1-2-2222-122-1-12222-12-2-22-2-1-1-1-1-1-2-2-2-211-1-111-1-1-1-1122-1-2-211111-1-1-1-11111-2-200001111000000002-22-1-111-1-100000000000
χ3122222-1-2-2222-122-1-12222-1-22-2-22-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-11-2-2122-111111111-1-1-1-1220000-1-1-1-100000000-2-221111-1-100000000000
χ3222222-1-2-2222-122-1-12222-1-22-2-22-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-11-2-2122-111111111-1-1-1-1-2-2000011110000000022-2-1-1-1-11100000000000
χ3322222-1-2-2-2-22-122-1-1-2-2-2-2-12-22-22-1-1-111-2-22211-1-1111111-12-21-22-111-1-1-1-11111-1-1000000−i3−i3i3i300000000000i3−i3−i3i3i3−i300000000000
χ3422222-1-2-2-2-22-122-1-1-2-2-2-2-12-22-22-1-1-111-2-22211-1-1111111-12-21-22-111-1-1-1-11111-1-1000000i3i3−i3−i300000000000−i3i3i3−i3−i3i300000000000
χ3522222-1-2-2-2-22-122-1-1-2-2-2-2-1-2222-2-1-1-111-2-2221111-1-11111-1-22-12-2111-1-111-1-1-1-111000000−i3−i3i3i300000000000i3−i3i3−i3−i3i300000000000
χ3622222-1-2-2-2-22-122-1-1-2-2-2-2-1-2222-2-1-1-111-2-2221111-1-11111-1-22-12-2111-1-111-1-1-1-111000000i3i3−i3−i300000000000−i3i3−i3i3i3−i300000000000
χ372222-122222-12-1-122-1-1-1-1-122222-1-1-122-1-1-1-1222222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100000000022-1-1-1-100000
χ382222-122222-12-1-122-1-1-1-1-122222-1-1-122-1-1-1-1222222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000011111111000000000-2-2111100000
χ392222-122222-12-1-122-1-1-1-1-1-2-22-2-2-1-1-122-1-1-1-122-2-2-2-2-1-1-1-1211-211-2-1-1-1-1111111110022220000-1-1-1-1-1-1-1-1000000000-2-2111100000
χ402222-122222-12-1-122-1-1-1-1-1-2-22-2-2-1-1-122-1-1-1-122-2-2-2-2-1-1-1-1211-211-2-1-1-1-11111111100-2-2-2-200001111111100000000022-1-1-1-100000
χ412222-1222-2-2-12-1-1221111-122-2-2-2-1-1-1-2-2-1-1112222221111-2-11-2-11-2-1-111-1-111-1-111000000000033−3−333−3−3000000000003−33−300000
χ422222-1222-2-2-12-1-1221111-122-2-2-2-1-1-1-2-2-1-1112222221111-2-11-2-11-2-1-111-1-111-1-1110000000000−3−333−3−33300000000000−33−3300000
χ432222-1222-2-2-12-1-1221111-1-2-2-222-1-1-1-2-2-1-11122-2-2-2-21111-21-121-12-1-11111-1-111-1-1000000000033−3−333−3−300000000000−33−3300000
χ442222-1222-2-2-12-1-1221111-1-2-2-222-1-1-1-2-2-1-11122-2-2-2-21111-21-121-12-1-11111-1-111-1-10000000000−3−333−3−333000000000003−33−300000
χ452222-12-2-222-12-1-122-1-1-1-1-12-2-22-2-1-1-1221111-2-222-2-2-1-1-1-1-2-1-1211-21111-1-1-1-111110022-2-20000-1-1-1-111110000000002-2-1-11100000
χ462222-12-2-222-12-1-122-1-1-1-1-12-2-22-2-1-1-1221111-2-222-2-2-1-1-1-1-2-1-1211-21111-1-1-1-1111100-2-22200001111-1-1-1-1000000000-2211-1-100000
χ472222-12-2-222-12-1-122-1-1-1-1-1-22-2-22-1-1-1221111-2-2-2-222-1-1-1-1-211-2-1-1211111111-1-1-1-10022-2-20000-1-1-1-11111000000000-2211-1-100000
χ482222-12-2-222-12-1-122-1-1-1-1-1-22-2-22-1-1-1221111-2-2-2-222-1-1-1-1-211-2-1-1211111111-1-1-1-100-2-22200001111-1-1-1-10000000002-2-1-11100000
χ492222-12-2-2-2-2-12-1-1221111-12-22-22-1-1-1-2-211-1-1-2-222-2-211112-11-21-1211-1-1-1-11111-1-1000000000033−3−3−3−333000000000003−3−3300000
χ502222-12-2-2-2-2-12-1-1221111-12-22-22-1-1-1-2-211-1-1-2-222-2-211112-11-21-1211-1-1-1-11111-1-10000000000−3−33333−3−300000000000−333−300000
χ512222-12-2-2-2-2-12-1-1221111-1-2222-2-1-1-1-2-211-1-1-2-2-2-222111121-12-11-211-1-111-1-1-1-111000000000033−3−3−3−33300000000000−333−300000
χ522222-12-2-2-2-2-12-1-1221111-1-2222-2-1-1-1-2-211-1-1-2-2-2-222111121-12-11-211-1-111-1-1-1-1110000000000−3−33333−3−3000000000003−3−3300000
χ5322-2-22200-2222-2-2-2-2-2-2222000002-2-22-2000000000022-2-200000000000000000002i−2i2i−2i002i−2i2i−2i2i−2i2i−2i00000000000000000002-2000
χ5422-2-22200-2222-2-2-2-2-2-2222000002-2-22-2000000000022-2-200000000000000000002i−2i−2i2i002i−2i2i−2i−2i2i−2i2i0000000000000000000-22000
χ5522-2-22200-2222-2-2-2-2-2-2222000002-2-22-2000000000022-2-20000000000000000000−2i2i2i−2i00−2i2i−2i2i2i−2i2i−2i0000000000000000000-22000
χ5622-2-22200-2222-2-2-2-2-2-2222000002-2-22-2000000000022-2-20000000000000000000−2i2i−2i2i00−2i2i−2i2i−2i2i−2i2i00000000000000000002-2000
χ574444-2-24444-2-2-2-2-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-2-2-222221111-22222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-22222144-4-4-411122-2-222-2-2-2-2-2-2-1-1-1-12-222-22211-1-111-1-111-1-100000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-222221-4-4-44411122-2-222-2-22222-1-1-1-122-2-22-2-211-1-1-1-111-1-11100000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-2-2-2-214-4-44-4111-2-2222222-2-22211112-2-2-2222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-2-2-2-21-44-4-44111-2-222222222-2-211112222-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2222214-44-441112222-2-222-2-222-1-1-1-1-2-2222-2-2-1-11111-1-1-1-11100000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-222221-4444-41112222-2-22222-2-2-1-1-1-1-22-2-2-222-1-111-1-11111-1-100000000000000000000000000000000000000
χ6544-4-444004-444-4-4-4-444-4-44000004-4-4-440000000000-4-444000000000000000000000000000000000000000000000000000000000
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χ864-44-4-2-24-40022-222-2−2323−2323100000-11-100-22−2323-22−2i32i3−2i32i33−33−300000001-13−3i3−i3−3i3ii3−i3−3i3i00000000000000000000000000000000000000
χ874-44-4-2-24-40022-222-2−2323−2323100000-11-100-22−2323-222i3−2i32i3−2i33−33−300000001-13−3−i3i33i−3i−i3i33i−3i00000000000000000000000000000000000000
χ884-44-4-2-2-440022-222-223−2323−23100000-11-1002-2−23232-2−2i32i32i3−2i3−33−330000000-113−3i3−i33i−3i−i3i3−3i3i00000000000000000000000000000000000000
χ894-44-4-2-2-440022-222-223−2323−23100000-11-1002-2−23232-22i3−2i3−2i32i3−33−330000000-113−3−i3i3−3i3ii3−i33i−3i00000000000000000000000000000000000000
χ904-44-4-2-2-440022-222-2−2323−2323100000-11-1002-223−232-2−2i32i32i3−2i33−33−30000000-11−33i3−i3−3i3i−i3i33i−3i00000000000000000000000000000000000000
χ914-44-4-2-2-440022-222-2−2323−2323100000-11-1002-223−232-22i3−2i3−2i32i33−33−30000000-11−33−i3i33i−3ii3−i3−3i3i00000000000000000000000000000000000000
χ924-4-44440000-4-4-444-40000400000-4-4400000000000000000000000000000000000000022−220000000022−2222−2200000000000000000000
χ934-4-44440000-4-4-444-40000400000-4-44000000000000000000000000000000000000000−222200000000−2222−222200000000000000000000
χ944-4-44-2400002-42-24-423−23−2323-20000022-2000000000000−232323−230000000000000000000000022−22000000002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000
χ954-4-44-2400002-42-24-423−23−2323-20000022-2000000000000−232323−2300000000000000000000000−222200000000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000
χ964-4-44-2400002-42-24-4−232323−23-20000022-200000000000023−23−23230000000000000000000000022−22000000002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000
χ974-4-44-2400002-42-24-4−232323−23-20000022-200000000000023−23−232300000000000000000000000−222200000000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000
χ9888-8-8-4-4008-8-4-44444-4-4442000002-2-24-40000000000-2-222000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-400-88-4-4444444-4-42000002-2-2-44000000000022-2-2000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-84-88-440000-40000044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000444-4-4443−43−4343200000-2-2200000000000023−23−2323000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000444-4-44−434343−43200000-2-22000000000000−232323−23000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.